Finite Group Databasebeta

← C2×#14542988 #17941529

Subgroups — C2×#14542988 #17941529

Order 4352.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542988C2132yesmaximal, direct product factor
2C2×#11763563C211yesmaximal, characteristic, complemented
3C2×#11763558C211yesmaximal, characteristic, complemented
4C2×#11763555C211yesmaximal, characteristic, complemented
5C2×#11763555C211yesmaximal, characteristic, complemented
6C2×#11763514C211yesmaximal, characteristic, complemented
7C2×#11763500C211yesmaximal, characteristic, complemented
8C2×#11763491C211yesmaximal, characteristic, complemented
9C2×#11763488C211yesmaximal, characteristic, complemented
10C2×#11763488C211yesmaximal, characteristic, complemented
11C2×#11763486C211yesmaximal, characteristic, complemented
12C2×#11763486C211yesmaximal, characteristic, complemented
13C2×#11763461C211yesmaximal, characteristic, complemented
14C2×#11763460C211yesmaximal, characteristic, complemented
15C2×#11763455C211yesmaximal, characteristic, complemented
16C2×#11763450C211yesmaximal, characteristic, complemented
17C2×#11763438C211yesmaximal, characteristic, complemented
18C2×#11763434C211yesmaximal, characteristic, complemented
19C2×#11763431C211yesmaximal, characteristic, complemented
20C2×#11763429C211yesmaximal, characteristic, complemented
21C2×#11763407C211yesmaximal, characteristic, complemented
22C2×#11763407C211yesmaximal, characteristic, complemented
23C2×#11763406C211yesmaximal, characteristic, complemented
24C2×#11763405C211yesmaximal, characteristic, complemented
25C2×#11763401C211yesmaximal, characteristic, complemented
26C2×#11763392C211yesmaximal, characteristic, complemented
27C2×#11763384C211yesmaximal, characteristic, complemented
28C2×#11763382C211yesmaximal, characteristic, complemented
29C2×#11763318C211yesmaximal, characteristic, complemented
30C22×#10587580C211yesmaximal, characteristic, complemented
31C2×C22⋊Q8×D17C211yesmaximal, characteristic, complemented
32C2×C17×#554C211yesmaximal, characteristic, complemented
33C22×#63256C2211yescharacteristic
34C22×#63252C2211yescharacteristic
35C22×#63252C2211yescharacteristic, complemented
36C22×Q8×D17C2211yescharacteristic, complemented
37C23×D68C2211yescharacteristic
38C23×C4×D17C2211yescharacteristic
39#11763563C22116yescomplemented
40#11763558C22116yescomplemented
41#11763555C22116yescomplemented
42#11763555C22116yescomplemented
43#11763514C22116yescomplemented
44#11763500C22116yescomplemented
45#11763491C22116yescomplemented
46#11763488C22116yescomplemented
47#11763488C22116yescomplemented
48#11763486C22116yescomplemented
49#11763486C22116yescomplemented
50#11763461C22116yescomplemented
51#11763460C22116yescomplemented
52#11763455C22116yescomplemented
53#11763450C22116yescomplemented
54#11763438C22116yescomplemented
55#11763434C22116yescomplemented
56#11763431C22116yescomplemented
57#11763429C22116yescomplemented
58#11763407C22116yescomplemented
59#11763407C22116yescomplemented
60#11763406C22116yescomplemented
61#11763405C22116yescomplemented
62#11763401C22116yescomplemented
63#11763392C22116yescomplemented
64#11763384C22116yescomplemented
65#11763382C22116yescomplemented
66C2×#10587574C2211yescharacteristic, complemented
67C2×#10587574C2211yescharacteristic, complemented
68C2×#10587574C2211yescharacteristic, complemented
69C2×#10587630C2211yescharacteristic, complemented
70C2×#10587630C2211yescharacteristic, complemented
71C2×#10587584C2211yescharacteristic, complemented
72C2×#10587584C2211yescharacteristic, complemented
73C2×#10587584C2211yescharacteristic, complemented
74C2×#10587584C2211yescharacteristic, complemented
75C2×#10587584C2211yescharacteristic, complemented
76C2×#10587584C2211yescharacteristic, complemented
77C2×#10587584C2211yescharacteristic, complemented
78C2×#10587562C2211yescharacteristic, complemented
79C2×#10587562C2211yescharacteristic, complemented
80C2×#10587562C2211yescharacteristic, complemented
81C2×#10587562C2211yescharacteristic, complemented
82C2×#10587565C2211yescharacteristic, complemented
83C2×#10587556C2211yescharacteristic, complemented
84C2×#10587575C2211yescharacteristic, complemented
85C2×#10587575C2211yescharacteristic, complemented
86C2×#10587575C2211yescharacteristic, complemented
87C2×#10587575C2211yescharacteristic, complemented
88C2×#10587575C2211yescharacteristic, complemented
89C2×#10587575C2211yescharacteristic, complemented
90C2×#10587575C2211yescharacteristic, complemented
91C2×#10587633C2211yescharacteristic
92C2×#10587633C2211yescharacteristic, complemented
93C2×#10587633C2211yescharacteristic, complemented
94C2×#10587561C2211yescharacteristic
95C2×#10587561C2211yescharacteristic, complemented
96C2×#10587571C2211yescharacteristic, complemented
97C2×#10587571C2211yescharacteristic, complemented
98C2×#10587571C2211yescharacteristic, complemented
99#11763318C22116yescomplemented
100C2×#10587580C2211yescharacteristic
101C2×#10587580C2211yescharacteristic
102C2×#10587580C2211yescharacteristic
103C2×#10587580C2211yescharacteristic
104C2×#10587580C2211yescharacteristic
105C2×#10587580C2211yescharacteristic
106C2×#10587580C2211yescharacteristic
107C2×#10587580C2211yescharacteristic
108C2×#10587580C2211yescharacteristic
109C2×#10587580C2211yescharacteristic
110C2×#10587580C2211yescharacteristic
111C2×#10587580C2211yescharacteristic
112C2×#10587580C22116yescomplemented
113C2×#10587580C2211yescharacteristic, complemented
114C2×#10587580C2211yescharacteristic, complemented
115C2×#10587580C2211yescharacteristic, complemented
116C2×#10587580C2211yescharacteristic, complemented
117C2×#10587580C2211yescharacteristic, complemented
118C2×#10587580C2211yescharacteristic, complemented
119C2×#10587572C2211yescharacteristic
120C2×#10587615C2211yescharacteristic, complemented
121C2×#10587615C2211yescharacteristic, complemented
122C2×#10587615C2211yescharacteristic, complemented
123C2×#10587615C2211yescharacteristic, complemented
124C2×#10587569C2211yescharacteristic, complemented
125C2×#10587569C2211yescharacteristic, complemented
126C2×#10587569C2211yescharacteristic, complemented
127C2×#10587569C2211yescharacteristic, complemented
128C2×#10587621C2211yescharacteristic
129C2×#10587583C2211yescharacteristic, complemented
130C2×#10587583C2211yescharacteristic, complemented
131C2×#10587583C2211yescharacteristic, complemented
132C2×#10587583C2211yescharacteristic, complemented
133C2×#10587610C2211yescharacteristic
134C2×#10587610C2211yescharacteristic
135C2×#10587610C2211yescharacteristic
136C2×#10587610C2211yescharacteristic, complemented
137C2×#10587582C2211yescharacteristic, complemented
138C2×#10587582C2211yescharacteristic, complemented
139C2×#10587582C2211yescharacteristic, complemented
140C2×#10587582C2211yescharacteristic, complemented
141C2×#10587582C2211yescharacteristic, complemented
142C2×#10587582C2211yescharacteristic, complemented
143C2×#10587582C2211yescharacteristic, complemented
144C2×#10587582C2211yescharacteristic, complemented
145C2×#10587582C2211yescharacteristic, complemented
146C2×#10587582C2211yescharacteristic, complemented
147C2×#10587582C2211yescharacteristic, complemented
148C2×#10587582C2211yescharacteristic, complemented
149C2×#10587564C2211yescharacteristic
150C2×#10587564C2211yescharacteristic
151C2×#10587564C2211yescharacteristic
152C2×#10587632C2211yescharacteristic, complemented
153C2×#10587632C2211yescharacteristic, complemented
154C2×#10587632C2211yescharacteristic, complemented
155C2×#10587632C2211yescharacteristic, complemented
156C2×#10587632C2211yescharacteristic, complemented
157C22⋊Q8×D17C22116yescomplemented
158C2×#10587581C2211yescharacteristic
159C2×#10587581C2211yescharacteristic
160C2×#10587581C2211yescharacteristic
161C2×#10587616C2211yescharacteristic
162C2×#10587616C2211yescharacteristic, complemented
163C2×#10587570C2211yescharacteristic
164C2×#10587570C2211yescharacteristic
165C2×#10587570C2211yescharacteristic, complemented
166C2×#10587570C2211yescharacteristic, complemented
167C2×#10587625C2211yescharacteristic
168C2×#10587568C2211yescharacteristic
169C2×#10587568C2211yescharacteristic
170C2×#10587623C2211yescharacteristic
171C2×#10587623C2211yescharacteristic
172C2×#10587573C2211yescharacteristic, complemented
173C2×C4×D68C2211yescharacteristic
174C2×C4×D68C2211yescharacteristic, complemented
175C2×#10587579C2211yescharacteristic
176C2×#10587579C2211yescharacteristic, complemented
177C2×#10587579C2211yescharacteristic, complemented
178C2×C4×C22⋊D17C2211yescharacteristic
179C2×C4×C22⋊D17C2211yescharacteristic
180C2×C4×C22⋊D17C2211yescharacteristic
181C2×C4×C22⋊D17C2211yescharacteristic, complemented
182C2×C4×C22⋊D17C2211yescharacteristic, complemented
183C2×C4×C22⋊D17C2211yescharacteristic, complemented
184C2×#10587578C2211yescharacteristic, complemented
185C2×#10587578C2211yescharacteristic, complemented
186C2×#10587558C2211yescharacteristic, complemented
187C2×#10587558C2211yescharacteristic, complemented
188C2×#10587558C2211yescharacteristic, complemented
189C2×#10587563C2211yescharacteristic
190C2×#10587563C2211yescharacteristic
191C22×#63225C2211yescharacteristic
192C2×C4⋊C4×D17C2211yescharacteristic, complemented
193C2×C4⋊C4×D17C2211yescharacteristic, complemented
194C2×C4⋊C4×D17C2211yescharacteristic, complemented
195C2×C4⋊C4×D17C2211yescharacteristic, complemented
196C22×#63227C2211yescharacteristic
197C22×#63227C2211yescharacteristic
198C22×#63227C2211yescharacteristic
199C2×C22⋊C4×D17C2211yescharacteristic
200C2×C22⋊C4×D17C2211yescharacteristic
201C2×C22⋊C4×D17C2211yescharacteristic
202C2×C22⋊C4×D17C2211yescharacteristic
203C17×#554C22116yescomplemented
204C2×C17×C4⋊Q8C2211yescharacteristic, complemented
205C2×C17×#125C2211yescharacteristic, complemented
206C2×C17×#125C2211yescharacteristic, complemented
207C2×C17×C22⋊Q8C2211yescharacteristic
208C2×C17×C22⋊Q8C2211yescharacteristic
209C2×C17×C22⋊Q8C2211yescharacteristic
210C2×C17×C22⋊Q8C2211yescharacteristic, complemented
211C2×C17×C22⋊Q8C2211yescharacteristic, complemented
212C2×C17×C22⋊Q8C2211yescharacteristic, complemented
213C2×C4×Q8×C17C2211yescharacteristic, complemented
214C2×C4×D4×C17C2211yescharacteristic
215C2×C4×D4×C17C2211yescharacteristic
216C2×C4×D4×C17C2211yescharacteristic
217C22×C4⋊C4×C17C2211yescharacteristic
218C22×C4⋊C4×C17C2211yescharacteristic, complemented
219C24×D17C2311yescharacteristic
220C24×D17C2311yescharacteristic
221C22×Q8×C17C2311yescharacteristic
222C22×Q8×C17C2311yescharacteristic
223C22×Q8×C17C2311yescharacteristic
224C22×D4×C17C2311yescharacteristic
225C23×C4×C17C2311yescharacteristic
226C23×C4×C17C2311yescharacteristic
227C23×C4×C17C2311yescharacteristic
228C23×C4×C17C2311yescharacteristic
229C23×C4×C17C2311yescharacteristic
230C23×C4×C17C2311yescharacteristic
231C22×C22⋊D17C2311yescharacteristic
232C22×C22⋊D17C2311yescharacteristic
233C22×C22⋊D17C2311yescharacteristic
234C22×C22⋊D17C2311yescharacteristic
235C22×C22⋊D17C2311yescharacteristic
236C22×C22⋊D17C2311yescharacteristic
237C23×Dic17C2311yescharacteristic
238C23×Dic17C2311yescharacteristic
239C2×#63256—44no—
240C2×#63256C2318yes—
241C2×Q8×D17—44no—
242C2×Q8×D17C2318yescomplemented
243C2×#63252—44no—
244C2×#63252—44no—
245C2×#63252C2318yes—
246C2×#63252C2318yescomplemented
247C22×D68—44no—
248C22×D68C2311yescharacteristic
249C22×D68C2311yescharacteristic
250C22×D68C2311yescharacteristic
251C22×D68C2311yescharacteristic
252C22×D68C2311yescharacteristic
253C22×D68C2311yescharacteristic
254C22×D68C2311yescharacteristic
255C22×D68C2311yescharacteristic
256C22×D68C2318yes—
257C22×C4×D17—44no—
258C22×C4×D17C2311yescharacteristic
259C22×C4×D17C2311yescharacteristic
260C22×C4×D17C2311yescharacteristic
261C22×C4×D17C2311yescharacteristic
262C22×C4×D17C2311yescharacteristic
263C22×C4×D17C2311yescharacteristic
264C22×C4×D17C2311yescharacteristic
265C22×C4×D17C2311yescharacteristic
266C22×C4×D17C2311yescharacteristic
267C22×C4×D17C2311yescharacteristic
268C22×C4×D17C2311yescharacteristic
269C22×C4×D17C2311yescharacteristic
270C22×C4×D17C2311yescharacteristic
271C22×C4×D17C2311yescharacteristic
272C22×C4×D17C2311yescharacteristic
273C22×C4×D17C2318yes—
274C22×Dic34C2311yescharacteristic
275C22×Dic34C2311yescharacteristic
276C22×Dic34C2311yescharacteristic
277C22×Dic34C2311yescharacteristic
278C22×Dic34C2311yescharacteristic
279C22×Dic34C2311yescharacteristic
280C17×C4⋊Q8C2318yescomplemented
281C17×#125C2318yescomplemented
282C17×#125C2318yescomplemented
283C17×C22⋊Q8C2318yes—
284C17×C22⋊Q8C2318yes—
285C17×C22⋊Q8C2318yes—
286C17×C22⋊Q8C2318yescomplemented
287C17×C22⋊Q8C2318yescomplemented
288C17×C22⋊Q8C2318yescomplemented
289C4×Q8×C17C2318yescomplemented
290C4×D4×C17C2318yes—
291C4×D4×C17C2318yes—
292C4×D4×C17C2318yes—
293C2×C4⋊C4×C17C2311yescharacteristic
294C2×C4⋊C4×C17C2311yescharacteristic
295C2×C4⋊C4×C17C2311yescharacteristic
296C2×C4⋊C4×C17C2311yescharacteristic
297C2×C4⋊C4×C17C2318yes—
298C2×C4⋊C4×C17C2311yescharacteristic
299C2×C4⋊C4×C17C2311yescharacteristic
300C2×C4⋊C4×C17C2311yescharacteristic
301C2×C4⋊C4×C17C2311yescharacteristic
302C2×C4⋊C4×C17C2311yescharacteristic
303C2×C4⋊C4×C17C2311yescharacteristic
304C2×C4⋊C4×C17C2311yescharacteristic
305C2×C4⋊C4×C17C2311yescharacteristic
306C2×C4⋊C4×C17C2311yescharacteristic
307C2×C4⋊C4×C17C2311yescharacteristic
308C2×C4⋊C4×C17C2311yescharacteristic
309C2×C4⋊C4×C17C2311yescharacteristic
310C2×C4⋊C4×C17C2318yescomplemented
311C2×C22⋊C4×C17C2311yescharacteristic
312C2×C22⋊C4×C17C2311yescharacteristic
313C2×C22⋊C4×C17C2311yescharacteristic
314C2×C22⋊C4×C17C2311yescharacteristic
315C2×C22⋊C4×C17C2311yescharacteristic
316C2×C22⋊C4×C17C2311yescharacteristic
317C2×C42×C17C2311yescharacteristic
318C2×C42×C17C2311yescharacteristic
319C2×C42×C17C2311yescharacteristic
320C2×C22⋊Dic17C2311yescharacteristic
321C2×C22⋊Dic17C2311yescharacteristic
322C2×C22⋊Dic17C2311yescharacteristic
323C2×C22⋊Dic17C2311yescharacteristic
324C2×C22⋊Dic17C2311yescharacteristic
325C2×C22⋊Dic17C2311yescharacteristic
326#10587633C2318yes—
327#10587633C2318yescomplemented
328#10587633C2318yescomplemented
329#10587632C2318yescomplemented
330#10587632C2318yescomplemented
331#10587632C2318yescomplemented
332#10587632C2318yescomplemented
333#10587632C2318yescomplemented
334#10587630C2318yescomplemented
335#10587630C2318yescomplemented
336#10587625C2318yes—
337#10587623C2318yes—
338#10587623C2318yes—
339#10587621C2318yes—
340#10587616C2318yes—
341#10587616C2318yescomplemented
342#10587615C2318yescomplemented
343#10587615C2318yescomplemented
344#10587615C2318yescomplemented
345#10587615C2318yescomplemented
346C4×C22⋊D17C2318yes—
347C4×C22⋊D17C2318yes—
348C4×C22⋊D17C2318yes—
349C4×C22⋊D17C2318yescomplemented
350C4×C22⋊D17C2318yescomplemented
351C4×C22⋊D17C2318yescomplemented
352C2×#63227C2318yes—
353C2×#63227C2318yes—
354C2×#63227C2311yescharacteristic
355C2×#63227C2311yescharacteristic
356C2×#63227C2311yescharacteristic
357C2×#63227C2311yescharacteristic
358C2×#63227C2311yescharacteristic
359C2×#63227C2311yescharacteristic
360C2×#63227C2311yescharacteristic
361C2×#63227C2311yescharacteristic
362C2×#63227C2311yescharacteristic
363C2×#63227C2311yescharacteristic
364C2×#63227C2311yescharacteristic
365C2×#63227C2311yescharacteristic
366C2×#63227C2311yescharacteristic
367C2×#63227C2311yescharacteristic
368C2×#63227C2311yescharacteristic
369C2×#63227C2311yescharacteristic
370C2×#63227C2311yescharacteristic
371C2×#63227C2311yescharacteristic
372C2×#63227C2311yescharacteristic
373C2×#63227C2311yescharacteristic
374C2×#63227C2318yes—
375C2×#63227C2311yescharacteristic
376C2×#63227C2311yescharacteristic
377C2×#63227C2311yescharacteristic
378C2×#63227C2311yescharacteristic
379C2×#63227C2311yescharacteristic
380C2×#63227C2311yescharacteristic
381C2×#63227C2311yescharacteristic
382C2×#63227C2311yescharacteristic
383C2×#63227C2311yescharacteristic
384C2×#63227C2311yescharacteristic
385C2×#63227C2311yescharacteristic
386C2×#63227C2311yescharacteristic
387C2×#63227C2311yescharacteristic
388C2×#63227C2311yescharacteristic
389C2×C4⋊Dic17C2311yescharacteristic
390C2×C4⋊Dic17C2311yescharacteristic
391C2×C4⋊Dic17C2311yescharacteristic
392C2×C4⋊Dic17C2311yescharacteristic
393C2×C4⋊Dic17C2311yescharacteristic
394C2×C4⋊Dic17C2311yescharacteristic
395C2×C4⋊Dic17C2311yescharacteristic
396C2×C4⋊Dic17C2311yescharacteristic
397#10587610C2318yes—
398#10587610C2318yes—
399#10587610C2318yes—
400#10587610C2318yescomplemented
401C2×#63225C2311yescharacteristic
402C2×#63225C2311yescharacteristic
403C2×#63225C2311yescharacteristic
404C2×#63225C2311yescharacteristic
405C2×#63225C2311yescharacteristic
406C2×#63225C2311yescharacteristic
407C2×#63225C2311yescharacteristic
408C2×#63225C2311yescharacteristic
409C2×#63225C2311yescharacteristic
410C2×#63225C2311yescharacteristic
411C2×#63225C2311yescharacteristic
412C2×#63225C2318yes—
413C2×#63225C2311yescharacteristic
414C2×#63225C2311yescharacteristic
415C2×#63225C2311yescharacteristic
416C2×#63225C2311yescharacteristic
417C2×#63225C2311yescharacteristic
418C2×#63225C2311yescharacteristic
419C2×#63225C2311yescharacteristic
420C2×#63225C2311yescharacteristic
421C2×#63225C2311yescharacteristic
422C2×#63225C2311yescharacteristic
423C2×#63225C2311yescharacteristic
424C2×#63225C2311yescharacteristic
425C2×#63225C2311yescharacteristic
426C2×#63225C2311yescharacteristic
427C2×#63225C2311yescharacteristic
428C2×C4×Dic17C2311yescharacteristic
429C2×C4×Dic17C2311yescharacteristic
430C2×C4×Dic17C2311yescharacteristic
431C2×C4×Dic17C2311yescharacteristic
432C2×C4×Dic17C2311yescharacteristic
433C2×C4×Dic17C2311yescharacteristic
434C2×C4×Dic17C2311yescharacteristic
435#10587584C2318yescomplemented
436#10587584C2318yescomplemented
437#10587584C2318yescomplemented
438#10587584C2318yescomplemented
439#10587584C2318yescomplemented
440#10587584C2318yescomplemented
441#10587584C2318yescomplemented
442#10587583C2318yescomplemented
443#10587583C2318yescomplemented
444#10587583C2318yescomplemented
445#10587583C2318yescomplemented
446#10587582C2318yescomplemented
447#10587582C2318yescomplemented
448#10587582C2318yescomplemented
449#10587582C2318yescomplemented
450#10587582C2318yescomplemented
451#10587582C2318yescomplemented
452#10587582C2318yescomplemented
453#10587582C2318yescomplemented
454#10587582C2318yescomplemented
455#10587582C2318yescomplemented
456#10587582C2318yescomplemented
457#10587582C2318yescomplemented
458#10587581C2318yes—
459#10587581C2318yes—
460#10587581C2318yes—
461#10587580C2318yes—
462#10587580C2318yes—
463#10587580C2318yes—
464#10587580C2318yes—
465#10587580C2318yes—
466#10587580C2318yes—
467#10587580C2318yes—
468#10587580C2318yes—
469#10587580C2318yes—
470#10587580C2318yes—
471#10587580C2318yes—
472#10587580C2318yes—
473#10587580C2318yescomplemented
474#10587580C2318yescomplemented
475#10587580C2318yescomplemented
476#10587580C2318yescomplemented
477#10587580C2318yescomplemented
478#10587580C2318yescomplemented
479#10587579C2318yes—
480#10587579C2318yescomplemented
481#10587579C2318yescomplemented
482#10587578C2318yescomplemented
483#10587578C2318yescomplemented
484C4⋊C4×D17C2318yescomplemented
485C4⋊C4×D17C2318yescomplemented
486C4⋊C4×D17C2318yescomplemented
487C4⋊C4×D17C2318yescomplemented
488#10587575C2318yescomplemented
489#10587575C2318yescomplemented
490#10587575C2318yescomplemented
491#10587575C2318yescomplemented
492#10587575C2318yescomplemented
493#10587575C2318yescomplemented
494#10587575C2318yescomplemented
495#10587574C2318yescomplemented
496#10587574C2318yescomplemented
497#10587574C2318yescomplemented
498#10587573C2318yescomplemented
499#10587572C2318yes—
500#10587571C2318yescomplemented
501#10587571C2318yescomplemented
502#10587571C2318yescomplemented
503#10587570C2318yes—
504#10587570C2318yes—
505#10587570C2318yescomplemented
506#10587570C2318yescomplemented
507#10587569C2318yescomplemented
508#10587569C2318yescomplemented
509#10587569C2318yescomplemented
510#10587569C2318yescomplemented
511#10587568C2318yes—
512#10587568C2318yes—
513C22⋊C4×D17C2318yes—
514C22⋊C4×D17C2318yes—
515C22⋊C4×D17C2318yes—
516C22⋊C4×D17C2318yes—
517#10587565C2318yescomplemented
518#10587564C2318yes—
519#10587564C2318yes—
520#10587564C2318yes—
521#10587563C2318yes—
522#10587563C2318yes—
523#10587562C2318yescomplemented
524#10587562C2318yescomplemented
525#10587562C2318yescomplemented
526#10587562C2318yescomplemented
527#10587561C2318yes—
528#10587561C2318yescomplemented
529C4×D68C2318yes—
530C4×D68C2318yescomplemented
531#10587558C2318yescomplemented
532#10587558C2318yescomplemented
533#10587558C2318yescomplemented
534#10587556C2318yescomplemented
535C24×C17C2411yescharacteristic
536C24×C17C2411yescharacteristic
537C23×D17—24no—
538C23×D17—24no—
539C23×D17—24no—
540C23×D17—42no—
541C23×D17—42no—
542C23×D17—42no—
543C23×D17C2411yescharacteristic
544C23×D17C2411yescharacteristic
545C23×D17C2411yescharacteristic
546C23×D17C2411yescharacteristic
547C23×D17C2414yes—
548C23×D17C2411yescharacteristic
549C23×D17C2414yes—
550C2×Q8×C17—42no—
551C2×Q8×C17—42no—
552C2×Q8×C17—42no—
553C2×Q8×C17C2414yes—
554C2×Q8×C17C2414yes—
555C2×Q8×C17C2414yes—
556C2×D4×C17—24no—
557C2×D4×C17C2414yes—
558C22×C4×C17—42no—
559C22×C4×C17—42no—
560C22×C4×C17—42no—
561C22×C4×C17—42no—
562C22×C4×C17—42no—
563C22×C4×C17—42no—
564C22×C4×C17C2411yescharacteristic
565C22×C4×C17C2411yescharacteristic
566C22×C4×C17C2411yescharacteristic
567C22×C4×C17C2411yescharacteristic
568C22×C4×C17C2411yescharacteristic
569C22×C4×C17C2411yescharacteristic
570C22×C4×C17C2411yescharacteristic
571C22×C4×C17C2411yescharacteristic
572C22×C4×C17C2411yescharacteristic
573C22×C4×C17C2411yescharacteristic
574C22×C4×C17C2411yescharacteristic
575C22×C4×C17C2411yescharacteristic
576C22×C4×C17C2411yescharacteristic
577C22×C4×C17C2414yes—
578C22×C4×C17C2414yes—
579C22×C4×C17C2414yes—
580C22×C4×C17C2414yes—
581C22×C4×C17C2414yes—
582C22×C4×C17C2414yes—
583C2×C22⋊D17—24no—
584C2×C22⋊D17—24no—
585C2×C22⋊D17—42no—
586C2×C22⋊D17—42no—
587C2×C22⋊D17—42no—
588C2×C22⋊D17—42no—
589C2×C22⋊D17C2414yes—
590C2×C22⋊D17C2414yes—
591C2×C22⋊D17C2414yes—
592C2×C22⋊D17C2414yes—
593C2×C22⋊D17C2414yes—
594C2×C22⋊D17C2414yes—
595C22×Dic17—24no—
596C22×Dic17—42no—
597C22×Dic17C2411yescharacteristic
598C22×Dic17C2411yescharacteristic
599C22×Dic17C2411yescharacteristic
600C22×Dic17C2411yescharacteristic
601C22×Dic17C2411yescharacteristic
602C22×Dic17C2411yescharacteristic
603C22×Dic17C2411yescharacteristic
604C22×Dic17C2411yescharacteristic
605C22×Dic17C2414yes—
606C22×Dic17C2411yescharacteristic
607C22×Dic17C2411yescharacteristic
608C22×Dic17C2411yescharacteristic
609C22×Dic17C2414yes—
610#63256—416no—
611Q8×D17—416no—
612#63252—416no—
613#63252—416no—
614C2×D68—24no—
615C2×D68—24no—
616C2×D68—24no—
617C2×D68—416no—
618C2×D68—42no—
619C2×D68—42no—
620C2×D68—42no—
621C2×D68—42no—
622C2×D68—42no—
623C2×D68C2414yes—
624C2×D68C2414yes—
625C2×D68C2414yes—
626C2×D68C2414yes—
627C2×D68C2414yes—
628C2×D68C2414yes—
629C2×D68C2414yes—
630C2×D68C2414yes—
631C2×C4×D17—24no—
632C2×C4×D17—24no—
633C2×C4×D17—24no—
634C2×C4×D17—24no—
635C2×C4×D17—416no—
636C2×C4×D17—42no—
637C2×C4×D17—42no—
638C2×C4×D17—42no—
639C2×C4×D17—42no—
640C2×C4×D17—42no—
641C2×C4×D17—42no—
642C2×C4×D17—42no—
643C2×C4×D17—42no—
644C2×C4×D17—42no—
645C2×C4×D17—42no—
646C2×C4×D17—42no—
647C2×C4×D17C2414yes—
648C2×C4×D17C2414yes—
649C2×C4×D17C2414yes—
650C2×C4×D17C2414yes—
651C2×C4×D17C2414yes—
652C2×C4×D17C2414yes—
653C2×C4×D17C2414yes—
654C2×C4×D17C2414yes—
655C2×C4×D17C2414yes—
656C2×C4×D17C2414yes—
657C2×C4×D17C2414yes—
658C2×C4×D17C2414yes—
659C2×C4×D17C2414yes—
660C2×C4×D17C2414yes—
661C2×C4×D17C2414yes—
662C2×Dic34—42no—
663C2×Dic34—42no—
664C2×Dic34—42no—
665C2×Dic34—42no—
666C2×Dic34—42no—
667C2×Dic34—42no—
668C2×Dic34C2414yes—
669C2×Dic34C2414yes—
670C2×Dic34C2414yes—
671C2×Dic34C2414yes—
672C2×Dic34C2414yes—
673C2×Dic34C2414yes—
674C4⋊C4×C17C2414yes—
675C4⋊C4×C17C2414yes—
676C4⋊C4×C17C2414yes—
677C4⋊C4×C17C2414yes—
678C4⋊C4×C17C2414yes—
679C4⋊C4×C17C2414yes—
680C4⋊C4×C17C2414yes—
681C4⋊C4×C17C2414yes—
682C4⋊C4×C17C2414yes—
683C4⋊C4×C17C2414yes—
684C4⋊C4×C17C2414yes—
685C4⋊C4×C17C2414yes—
686C4⋊C4×C17C2414yes—
687C4⋊C4×C17C2414yes—
688C4⋊C4×C17C2414yes—
689C4⋊C4×C17C2414yes—
690C22⋊C4×C17C2414yes—
691C22⋊C4×C17C2414yes—
692C22⋊C4×C17C2414yes—
693C22⋊C4×C17C2414yes—
694C22⋊C4×C17C2414yes—
695C22⋊C4×C17C2414yes—
696C42×C17C2414yes—
697C42×C17C2414yes—
698C42×C17C2414yes—
699C22⋊Dic17C2414yes—
700C22⋊Dic17C2414yes—
701C22⋊Dic17C2414yes—
702C22⋊Dic17C2414yes—
703C22⋊Dic17C2414yes—
704C22⋊Dic17C2414yes—
705#63227C2414yes—
706#63227C2414yes—
707#63227C2414yes—
708#63227C2414yes—
709#63227C2414yes—
710#63227C2414yes—
711#63227C2414yes—
712#63227C2414yes—
713#63227C2414yes—
714#63227C2414yes—
715#63227C2414yes—
716#63227C2414yes—
717#63227C2414yes—
718#63227C2414yes—
719#63227C2414yes—
720#63227C2414yes—
721#63227C2414yes—
722#63227C2414yes—
723#63227C2414yes—
724#63227C2414yes—
725#63227C2414yes—
726#63227C2414yes—
727#63227C2414yes—
728#63227C2414yes—
729#63227C2414yes—
730#63227C2414yes—
731#63227C2414yes—
732#63227C2414yes—
733#63227C2414yes—
734#63227C2414yes—
735#63227C2414yes—
736#63227C2414yes—
737#63227C2414yes—
738#63227C2414yes—
739C4⋊Dic17C2414yes—
740C4⋊Dic17C2414yes—
741C4⋊Dic17C2414yes—
742C4⋊Dic17C2414yes—
743C4⋊Dic17C2414yes—
744C4⋊Dic17C2414yes—
745C4⋊Dic17C2414yes—
746C4⋊Dic17C2414yes—
747#63225C2414yes—
748#63225C2414yes—
749#63225C2414yes—
750#63225C2414yes—
751#63225C2414yes—
752#63225C2414yes—
753#63225C2414yes—
754#63225C2414yes—
755#63225C2414yes—
756#63225C2414yes—
757#63225C2414yes—
758#63225C2414yes—
759#63225C2414yes—
760#63225C2414yes—
761#63225C2414yes—
762#63225C2414yes—
763#63225C2414yes—
764#63225C2414yes—
765#63225C2414yes—
766#63225C2414yes—
767#63225C2414yes—
768#63225C2414yes—
769#63225C2414yes—
770#63225C2414yes—
771#63225C2414yes—
772#63225C2414yes—
773C4×Dic17C2414yes—
774C4×Dic17C2414yes—
775C4×Dic17C2414yes—
776C4×Dic17C2414yes—
777C4×Dic17C2414yes—
778C4×Dic17C2414yes—
779C4×Dic17C2414yes—
780C2×#3535—171nomaximal, Sylow
781C23×C17—22no—
782C23×C17—22no—
783C23×C17—22no—
784C23×C17—22no—
785C23×C17—22no—
786C23×C172−1+414yes—
787C23×C17C2512yes—
788C23×C17C2512yes—
789C23×C17C2511yescharacteristic
790C22×D17—22no—
791C22×D17—22no—
792C22×D17—22no—
793C22×D17—22no—
794C22×D17—22no—
795C22×D17—22no—
796C22×D17—22no—
797C22×D17—28no—
798C22×D17—22no—
799C22×D17—22no—
800C22×D17—22no—
801C22×D17—22no—
802C22×D17—22no—
803C22×D17—22no—
804C22×D17—22no—
805C22×D17—28no—
806C22×D17—28no—
807C22×D17—44no—
808C22×D17—44no—
809C22×D17—44no—
810C22×D17—416no—
811C22×D17—88no—
812C22×D17H(5,𝔽2)14yes—
813C22×D17C2512yes—
814C22×D17C2512yes—
815C22×D17C2512yes—
816C22×D17C2512yes—
817C22×D17C2512yes—
818Q8×C17—44no—
819Q8×C17—44no—
820Q8×C17—44no—
821D4×C17—28no—
822C2×C4×C17—22no—
823C2×C4×C17—22no—
824C2×C4×C17—22no—
825C2×C4×C17—22no—
826C2×C4×C17—22no—
827C2×C4×C17—22no—
828C2×C4×C17—22no—
829C2×C4×C17—22no—
830C2×C4×C17—22no—
831C2×C4×C17—22no—
832C2×C4×C17—22no—
833C2×C4×C17—22no—
834C2×C4×C17—22no—
835C2×C4×C17—44no—
836C2×C4×C17—44no—
837C2×C4×C17—44no—
838C2×C4×C17—44no—
839C2×C4×C17—44no—
840C2×C4×C17—44no—
841C2×C4×C17C2512yes—
842C2×C4×C17C2512yes—
843C2×C4×C17C2512yes—
844C2×C4×C17C2512yes—
845C2×C4×C17C2512yes—
846C2×C4×C17C2512yes—
847C2×C4×C17C2512yes—
848C2×C4×C17C2512yes—
849C2×C4×C17C2512yes—
850C2×C4×C17C2512yes—
851C2×C4×C17C2512yes—
852C2×C4×C17C2512yes—
853C2×C4×C17C2512yes—
854C22⋊D17—28no—
855C22⋊D17—28no—
856C22⋊D17—44no—
857C22⋊D17—44no—
858C22⋊D17—44no—
859C22⋊D17—44no—
860C2×Dic17—22no—
861C2×Dic17—22no—
862C2×Dic17—22no—
863C2×Dic17—22no—
864C2×Dic17—22no—
865C2×Dic17—28no—
866C2×Dic17—22no—
867C2×Dic17—22no—
868C2×Dic17—22no—
869C2×Dic17—22no—
870C2×Dic17—22no—
871C2×Dic17—22no—
872C2×Dic17—44no—
873C2×Dic17C2512yes—
874C2×Dic17C2512yes—
875C2×Dic17C2512yes—
876C2×Dic17C2512yes—
877C2×Dic17C2512yes—
878C2×Dic17C2512yes—
879C2×Dic17C2512yes—
880C2×Dic17C2512yes—
881C2×Dic17C2512yes—
882C2×Dic17C2512yes—
883C2×Dic17C2512yes—
884D68—28no—
885D68—28no—
886D68—28no—
887D68—44no—
888D68—44no—
889D68—44no—
890D68—44no—
891D68—44no—
892C4×D17—28no—
893C4×D17—28no—
894C4×D17—28no—
895C4×D17—28no—
896C4×D17—44no—
897C4×D17—44no—
898C4×D17—44no—
899C4×D17—44no—
900C4×D17—44no—
901C4×D17—44no—
902C4×D17—44no—
903C4×D17—44no—
904C4×D17—44no—
905C4×D17—44no—
906C4×D17—44no—
907Dic34—44no—
908Dic34—44no—
909Dic34—44no—
910Dic34—44no—
911Dic34—44no—
912Dic34—44no—
913#3535—1732no—
914C2×#563—171no—
915C2×#563—171no—
916C2×#562—171no—
917C2×#562—171no—
918C2×#554—171no—
919C2×#554D1711yescharacteristic, complemented
920C2×#552—171no—
921C2×#552—171no—
922C2×#551—171no—
923C2×#551—171no—
924C2×#551—171no—
925C2×#551—171no—
926C2×#547—171no—
927C2×#547—171no—
928C2×#546—171no—
929C2×#546—171no—
930C2×#544—171no—
931C2×#543—171no—
932C2×#542—171no—
933C2×#542—171no—
934C2×#539—171no—
935C2×#539—171no—
936C2×#539—171no—
937C2×#539—171no—
938C2×#539—171no—
939C2×#538—171no—
940C2×#536—171no—
941C2×#536—171no—
942C2×#525—171no—
943C22×#123—171no—
944C22×C22⋊Q8—171no—
945C22×C17—22no—
946C22×C17—22no—
947C22×C17—28no—
948C22×C17—22no—
949C22×C17—22no—
950C22×C17—22no—
951C22×C17—44no—
952C22×C17C2×H(5,𝔽2)12yes—
953C22×C17C2×2−1+414yes—
954C22×C17C2×2−1+412yes—
955C22×C17#58512yes—
956C22×C17C2611yescharacteristic
957C2×D17—22no—
958C2×D17—22no—
959C2×D17—28no—
960C2×D17—22no—
961C2×D17—22no—
962C2×D17—22no—
963C2×D17—22no—
964C2×D17—22no—
965C2×D17—22no—
966C2×D17—22no—
967C2×D17—22no—
968C2×D17—22no—
969C2×D17—22no—
970C2×D17—22no—
971C2×D17—22no—
972C2×D17—416no—
973C2×D17—44no—
974C2×D17—44no—
975C2×D17—44no—
976C2×D17—44no—
977C2×D17—88no—
978C2×D17C2×H(5,𝔽2)14yes—
979C4×C17—22no—
980C4×C17—22no—
981C4×C17—22no—
982C4×C17—22no—
983C4×C17—22no—
984C4×C17—22no—
985C4×C17—22no—
986C4×C17—22no—
987C4×C17—22no—
988C4×C17—22no—
989C4×C17—22no—
990C4×C17—22no—
991C4×C17—22no—
992Dic17—22no—
993Dic17—22no—
994Dic17—22no—
995Dic17—22no—
996Dic17—22no—
997Dic17—22no—
998Dic17—22no—
999Dic17—22no—
1000Dic17—22no—
1001Dic17—22no—
1002Dic17—22no—
1003C22×#41—171no—
1004C22×#41—171no—
1005C22×#41—171no—
1006C23×Q8—171no—
1007C23×D4—171no—
1008C24×C4—171no—
1009#563—1716no—
1010#563—1716no—
1011#562—1716no—
1012#562—1716no—
1013#554—1716no—
1014#554C2×D17116yescomplemented
1015#552—1716no—
1016#552—1716no—
1017#551—1716no—
1018#551—1716no—
1019#551—1716no—
1020#551—1716no—
1021#547—1716no—
1022#547—1716no—
1023#546—1716no—
1024#546—1716no—
1025#544—1716no—
1026#543—1716no—
1027#542—1716no—
1028#542—1716no—
1029#539—1716no—
1030#539—1716no—
1031#539—1716no—
1032#539—1716no—
1033#539—1716no—
1034#538—1716no—
1035#536—1716no—
1036#536—1716no—
1037C2×C4⋊Q8—171no—
1038C2×C4⋊Q8—171no—
1039C2×C4⋊Q8—171no—
1040C2×C4⋊Q8—171no—
1041C2×C4⋊Q8—171no—
1042C2×C4⋊Q8C2×D1711yescharacteristic, complemented
1043C2×#126—171no—
1044C2×#126—171no—
1045C2×#126—171no—
1046C2×#126—171no—
1047C2×#126—171no—
1048C2×#126—171no—
1049C2×#126—171no—
1050C2×#126—171no—
1051C2×#126—171no—
1052C2×#126—171no—
1053C2×#126—171no—
1054C2×#126—171no—
1055C2×#125—171no—
1056C2×#125—171no—
1057C2×#125—171no—
1058C2×#125—171no—
1059C2×#125—171no—
1060C2×#125—171no—
1061C2×#125—171no—
1062C2×#125—171no—
1063C2×#125C2×D1711yescharacteristic, complemented
1064C2×#125C2×D1711yescharacteristic, complemented
1065C2×#124—171no—
1066C2×#124—171no—
1067C2×#124—171no—
1068C2×#124—171no—
1069C2×#124—171no—
1070C2×#124—171no—
1071C2×#124—171no—
1072C2×#124—171no—
1073#525—1716no—
1074C2×#123—171no—
1075C2×#123—171no—
1076C2×#123—171no—
1077C2×#123—171no—
1078C2×#123—171no—
1079C2×#123—171no—
1080C2×#123—171no—
1081C2×#123—171no—
1082C2×#123—171no—
1083C2×#123—171no—
1084C2×#123—171no—
1085C2×#123—171no—
1086C2×#123—171no—
1087C2×#123—1716no—
1088C2×#123—171no—
1089C2×#123—171no—
1090C2×#123—171no—
1091C2×#123—171no—
1092C2×#123—171no—
1093C2×#123—171no—
1094C2×#123—171no—
1095C2×#123—171no—
1096C2×#123—171no—
1097C2×#123—171no—
1098C2×#123—171no—
1099C2×#123—171no—
1100C2×#123—171no—
1101C2×#123—171no—
1102C2×#123—171no—
1103C2×C22⋊Q8—171no—
1104C2×C22⋊Q8—171no—
1105C2×C22⋊Q8—171no—
1106C2×C22⋊Q8—171no—
1107C2×C22⋊Q8—171no—
1108C2×C22⋊Q8—171no—
1109C2×C22⋊Q8—171no—
1110C2×C22⋊Q8—171no—
1111C2×C22⋊Q8—171no—
1112C2×C22⋊Q8—1716no—
1113C2×C22⋊Q8—171no—
1114C2×C22⋊Q8—171no—
1115C2×C22⋊Q8—171no—
1116C2×C22⋊Q8—171no—
1117C2×C22⋊Q8—171no—
1118C2×C22⋊Q8—171no—
1119C2×C22⋊Q8—171no—
1120C2×C22⋊Q8—171no—
1121C2×C22⋊Q8—171no—
1122C2×C22⋊Q8—171no—
1123C2×C22⋊Q8—171no—
1124C2×C22⋊Q8—171no—
1125C2×C22⋊Q8—171no—
1126C2×C22⋊Q8—171no—
1127C2×C22⋊Q8—171no—
1128C2×C22⋊Q8—171no—
1129C2×C22⋊Q8—171no—
1130C2×C22⋊Q8—171no—
1131C2×C22⋊Q8—171no—
1132C2×C22⋊Q8C2×D1711yescharacteristic
1133C2×C22⋊Q8C2×D1711yescharacteristic
1134C2×C22⋊Q8C2×D1711yescharacteristic
1135C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1136C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1137C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1138C2×#121—171no—
1139C2×#121—171no—
1140C2×#121—171no—
1141C2×#121—171no—
1142C2×#121—171no—
1143C2×#121—171no—
1144C2×#121—171no—
1145C2×#121—171no—
1146C2×#121—171no—
1147C2×#121—171no—
1148C2×#120—171no—
1149C2×#120—171no—
1150C2×#120—171no—
1151C2×#120—171no—
1152C2×C4×Q8—171no—
1153C2×C4×Q8C2×D1711yescharacteristic, complemented
1154C2×C4×D4—171no—
1155C2×C4×D4—171no—
1156C2×C4×D4—171no—
1157C2×C4×D4—171no—
1158C2×C4×D4—171no—
1159C2×C4×D4—171no—
1160C2×C4×D4—171no—
1161C2×C4×D4—171no—
1162C2×C4×D4—171no—
1163C2×C4×D4—171no—
1164C2×C4×D4—171no—
1165C2×C4×D4C2×D1711yescharacteristic
1166C2×C4×D4C2×D1711yescharacteristic
1167C2×C4×D4C2×D1711yescharacteristic
1168C2×#117—171no—
1169C2×#117—171no—
1170C2×#117—171no—
1171C2×#117—171no—
1172C2×#117—171no—
1173C2×#117—171no—
1174C2×#117—171no—
1175C22×C4⋊C4—171no—
1176C22×C4⋊C4—171no—
1177C22×C4⋊C4—171no—
1178C22×C4⋊C4—171no—
1179C22×C4⋊C4—171no—
1180C22×C4⋊C4C2×D1711yescharacteristic
1181C22×C4⋊C4C2×D1711yescharacteristic, complemented
1182C22×C22⋊C4—171no—
1183C22×C22⋊C4—171no—
1184C22×C22⋊C4—171no—
1185C22×C22⋊C4—171no—
1186C22×C22⋊C4—171no—
1187C22×C22⋊C4—171no—
1188C22×C22⋊C4—171no—
1189C2×C17—24no—
1190C2×C17—42no—
1191C2×C17#353514yescomplemented
1192C2×C17C22×H(5,𝔽2)11yescharacteristic
1193C2×C17C22×2−1+411yescharacteristic
1194C2×C17C2×#58511yescharacteristic
1195D17—24no—
1196D17—42no—
1197D17—42no—
1198D17—42no—
1199D17—42no—
1200C25—171no—
1201C25—171no—
1202C2×#41—178no—
1203C2×#41—178no—
1204C2×#41—178no—
1205C2×#41—684no—
1206C2×#41—684no—
1207C2×#41—684no—
1208C22×Q8—178no—
1209C22×Q8—171no—
1210C22×Q8—171no—
1211C22×Q8—171no—
1212C22×Q8—171no—
1213C22×Q8—171no—
1214C22×Q8—171no—
1215C22×Q8—684no—
1216C22×Q8C22×D1711yescharacteristic
1217C22×Q8C22×D1711yescharacteristic
1218C22×Q8C22×D1711yescharacteristic
1219C22×D4—171no—
1220C22×D4—171no—
1221C22×D4—171no—
1222C22×D4—171no—
1223C22×D4—171no—
1224C22×D4—171no—
1225C22×D4—171no—
1226C22×D4—171no—
1227C22×D4—171no—
1228C22×D4—171no—
1229C22×D4—171no—
1230C22×D4—171no—
1231C22×D4—171no—
1232C22×D4—171no—
1233C22×D4—178no—
1234C22×D4—684no—
1235C22×D4C22×D1711yescharacteristic
1236C23×C4—171no—
1237C23×C4—171no—
1238C23×C4—171no—
1239C23×C4—171no—
1240C23×C4—171no—
1241C23×C4—171no—
1242C23×C4—171no—
1243C23×C4—171no—
1244C23×C4—171no—
1245C23×C4—171no—
1246C23×C4—171no—
1247C23×C4—171no—
1248C23×C4—171no—
1249C23×C4—171no—
1250C23×C4—171no—
1251C23×C4—171no—
1252C23×C4—171no—
1253C23×C4—178no—
1254C23×C4—684no—
1255C23×C4C22×D1711yescharacteristic
1256C23×C4C22×D1711yescharacteristic
1257C23×C4C22×D1711yescharacteristic
1258C23×C4C22×D1711yescharacteristic
1259C23×C4C22×D1711yescharacteristic
1260C23×C4C22×D1711yescharacteristic
1261C4⋊Q8—178no—
1262C4⋊Q8—178no—
1263C4⋊Q8—178no—
1264C4⋊Q8—178no—
1265C4⋊Q8—178no—
1266C4⋊Q8C22×D1718yescomplemented
1267#126—178no—
1268#126—178no—
1269#126—178no—
1270#126—178no—
1271#126—178no—
1272#126—178no—
1273#126—178no—
1274#126—178no—
1275#126—178no—
1276#126—178no—
1277#126—178no—
1278#126—178no—
1279#125—178no—
1280#125—178no—
1281#125—178no—
1282#125—178no—
1283#125—178no—
1284#125—178no—
1285#125—178no—
1286#125—178no—
1287#125C22×D1718yescomplemented
1288#125C22×D1718yescomplemented
1289#124—178no—
1290#124—178no—
1291#124—178no—
1292#124—178no—
1293#124—178no—
1294#124—178no—
1295#124—178no—
1296#124—178no—
1297#123—178no—
1298#123—178no—
1299#123—178no—
1300#123—178no—
1301#123—178no—
1302#123—178no—
1303#123—178no—
1304#123—178no—
1305#123—178no—
1306#123—178no—
1307#123—178no—
1308#123—178no—
1309#123—178no—
1310#123—178no—
1311#123—178no—
1312#123—178no—
1313#123—178no—
1314#123—178no—
1315#123—178no—
1316#123—178no—
1317#123—178no—
1318#123—178no—
1319#123—178no—
1320#123—178no—
1321#123—178no—
1322#123—178no—
1323#123—178no—
1324#123—178no—
1325C22⋊Q8—178no—
1326C22⋊Q8—178no—
1327C22⋊Q8—178no—
1328C22⋊Q8—178no—
1329C22⋊Q8—178no—
1330C22⋊Q8—178no—
1331C22⋊Q8—178no—
1332C22⋊Q8—178no—
1333C22⋊Q8—178no—
1334C22⋊Q8—178no—
1335C22⋊Q8—178no—
1336C22⋊Q8—178no—
1337C22⋊Q8—178no—
1338C22⋊Q8—178no—
1339C22⋊Q8—178no—
1340C22⋊Q8—178no—
1341C22⋊Q8—178no—
1342C22⋊Q8—178no—
1343C22⋊Q8—178no—
1344C22⋊Q8—178no—
1345C22⋊Q8—178no—
1346C22⋊Q8—178no—
1347C22⋊Q8—178no—
1348C22⋊Q8—178no—
1349C22⋊Q8—178no—
1350C22⋊Q8—178no—
1351C22⋊Q8—178no—
1352C22⋊Q8—178no—
1353C22⋊Q8C22×D1718yes—
1354C22⋊Q8C22×D1718yes—
1355C22⋊Q8C22×D1718yes—
1356C22⋊Q8C22×D1718yescomplemented
1357C22⋊Q8C22×D1718yescomplemented
1358C22⋊Q8C22×D1718yescomplemented
1359#121—178no—
1360#121—178no—
1361#121—178no—
1362#121—178no—
1363#121—178no—
1364#121—178no—
1365#121—178no—
1366#121—178no—
1367#121—178no—
1368#121—178no—
1369#120—178no—
1370#120—178no—
1371#120—178no—
1372#120—178no—
1373C4×Q8—178no—
1374C4×Q8C22×D1718yescomplemented
1375C4×D4—178no—
1376C4×D4—178no—
1377C4×D4—178no—
1378C4×D4—178no—
1379C4×D4—178no—
1380C4×D4—178no—
1381C4×D4—178no—
1382C4×D4—178no—
1383C4×D4—178no—
1384C4×D4—178no—
1385C4×D4—178no—
1386C4×D4C22×D1718yes—
1387C4×D4C22×D1718yes—
1388C4×D4C22×D1718yes—
1389#117—178no—
1390#117—178no—
1391#117—178no—
1392#117—178no—
1393#117—178no—
1394#117—178no—
1395#117—178no—
1396C2×C4⋊C4—171no—
1397C2×C4⋊C4—171no—
1398C2×C4⋊C4—171no—
1399C2×C4⋊C4—171no—
1400C2×C4⋊C4—171no—
1401C2×C4⋊C4—171no—
1402C2×C4⋊C4—171no—
1403C2×C4⋊C4—171no—
1404C2×C4⋊C4—171no—
1405C2×C4⋊C4—171no—
1406C2×C4⋊C4—171no—
1407C2×C4⋊C4—171no—
1408C2×C4⋊C4—171no—
1409C2×C4⋊C4—171no—
1410C2×C4⋊C4—171no—
1411C2×C4⋊C4—178no—
1412C2×C4⋊C4—171no—
1413C2×C4⋊C4—171no—
1414C2×C4⋊C4—171no—
1415C2×C4⋊C4—171no—
1416C2×C4⋊C4—171no—
1417C2×C4⋊C4—171no—
1418C2×C4⋊C4—171no—
1419C2×C4⋊C4—171no—
1420C2×C4⋊C4—171no—
1421C2×C4⋊C4—171no—
1422C2×C4⋊C4—171no—
1423C2×C4⋊C4—171no—
1424C2×C4⋊C4—171no—
1425C2×C4⋊C4—171no—
1426C2×C4⋊C4—171no—
1427C2×C4⋊C4—171no—
1428C2×C4⋊C4—171no—
1429C2×C4⋊C4—171no—
1430C2×C4⋊C4—171no—
1431C2×C4⋊C4—178no—
1432C2×C4⋊C4—178no—
1433C2×C4⋊C4—178no—
1434C2×C4⋊C4—178no—
1435C2×C4⋊C4C22×D1711yescharacteristic
1436C2×C4⋊C4C22×D1711yescharacteristic
1437C2×C4⋊C4C22×D1711yescharacteristic
1438C2×C4⋊C4C22×D1711yescharacteristic
1439C2×C4⋊C4C22×D1711yescharacteristic
1440C2×C4⋊C4C22×D1711yescharacteristic
1441C2×C4⋊C4C22×D1711yescharacteristic
1442C2×C4⋊C4C22×D1718yes—
1443C2×C4⋊C4C22×D1711yescharacteristic
1444C2×C4⋊C4C22×D1711yescharacteristic
1445C2×C4⋊C4C22×D1711yescharacteristic
1446C2×C4⋊C4C22×D1711yescharacteristic
1447C2×C4⋊C4C22×D1711yescharacteristic
1448C2×C4⋊C4C22×D1711yescharacteristic
1449C2×C4⋊C4C22×D1711yescharacteristic
1450C2×C4⋊C4C22×D1711yescharacteristic
1451C2×C4⋊C4C22×D1711yescharacteristic
1452C2×C4⋊C4C22×D1718yescomplemented
1453C2×C22⋊C4—171no—
1454C2×C22⋊C4—171no—
1455C2×C22⋊C4—171no—
1456C2×C22⋊C4—171no—
1457C2×C22⋊C4—171no—
1458C2×C22⋊C4—171no—
1459C2×C22⋊C4—171no—
1460C2×C22⋊C4—171no—
1461C2×C22⋊C4—171no—
1462C2×C22⋊C4—171no—
1463C2×C22⋊C4—171no—
1464C2×C22⋊C4—171no—
1465C2×C22⋊C4—171no—
1466C2×C22⋊C4—171no—
1467C2×C22⋊C4—171no—
1468C2×C22⋊C4—171no—
1469C2×C22⋊C4—171no—
1470C2×C22⋊C4—171no—
1471C2×C22⋊C4—171no—
1472C2×C22⋊C4—171no—
1473C2×C22⋊C4—171no—
1474C2×C22⋊C4—171no—
1475C2×C22⋊C4—171no—
1476C2×C22⋊C4—171no—
1477C2×C22⋊C4—171no—
1478C2×C22⋊C4—171no—
1479C2×C22⋊C4—178no—
1480C2×C22⋊C4—178no—
1481C2×C22⋊C4—178no—
1482C2×C22⋊C4—171no—
1483C2×C22⋊C4—171no—
1484C2×C22⋊C4—171no—
1485C2×C22⋊C4—171no—
1486C2×C22⋊C4—171no—
1487C2×C22⋊C4—171no—
1488C2×C22⋊C4—171no—
1489C2×C22⋊C4—171no—
1490C2×C22⋊C4—171no—
1491C2×C22⋊C4—171no—
1492C2×C22⋊C4—171no—
1493C2×C22⋊C4—171no—
1494C2×C22⋊C4—171no—
1495C2×C22⋊C4—171no—
1496C2×C22⋊C4—178no—
1497C2×C22⋊C4—178no—
1498C2×C22⋊C4—178no—
1499C2×C22⋊C4—178no—
1500C2×C22⋊C4C22×D1711yescharacteristic
1501C2×C22⋊C4C22×D1711yescharacteristic
1502C2×C22⋊C4C22×D1711yescharacteristic
1503C2×C22⋊C4C22×D1711yescharacteristic
1504C2×C22⋊C4C22×D1711yescharacteristic
1505C2×C22⋊C4C22×D1711yescharacteristic
1506C2×C42—171no—
1507C2×C42—171no—
1508C2×C42—171no—
1509C2×C42—171no—
1510C2×C42—171no—
1511C2×C42—171no—
1512C2×C42—171no—
1513C2×C42C22×D1711yescharacteristic
1514C2×C42C22×D1711yescharacteristic
1515C2×C42C22×D1711yescharacteristic
1516C17C2×#353511yescharacteristic, complemented, Sylow
1517C24—171no—
1518C24—171no—
1519C24—171no—
1520C24—171no—
1521C24—171no—
1522C24—174no—
1523C24—174no—
1524C24—344no—
1525C24—344no—
1526C24—344no—
1527C24—682no—
1528C24—682no—
1529C24—682no—
1530C24C23×D1711yescharacteristic
1531C24C23×D1711yescharacteristic
1532#41—6816no—
1533#41—6816no—
1534#41—6816no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×Q8—174no—
1539C2×Q8—174no—
1540C2×Q8—174no—
1541C2×Q8—174no—
1542C2×Q8—174no—
1543C2×Q8—174no—
1544C2×Q8—682no—
1545C2×Q8—682no—
1546C2×Q8—682no—
1547C2×Q8—682no—
1548C2×Q8—682no—
1549C2×Q8—682no—
1550C2×Q8—6816no—
1551C2×Q8C23×D1714yes—
1552C2×Q8C23×D1714yes—
1553C2×Q8C23×D1714yes—
1554C2×D4—24no—
1555C2×D4—174no—
1556C2×D4—174no—
1557C2×D4—174no—
1558C2×D4—174no—
1559C2×D4—174no—
1560C2×D4—174no—
1561C2×D4—174no—
1562C2×D4—174no—
1563C2×D4—174no—
1564C2×D4—174no—
1565C2×D4—174no—
1566C2×D4—174no—
1567C2×D4—174no—
1568C2×D4—174no—
1569C2×D4—344no—
1570C2×D4—344no—
1571C2×D4—344no—
1572C2×D4—344no—
1573C2×D4—344no—
1574C2×D4—682no—
1575C2×D4—682no—
1576C2×D4—682no—
1577C2×D4—682no—
1578C2×D4—682no—
1579C2×D4—6816no—
1580C2×D4—682no—
1581C2×D4—682no—
1582C2×D4—682no—
1583C2×D4—682no—
1584C2×D4C23×D1714yes—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—174no—
1592C22×C4—171no—
1593C22×C4—171no—
1594C22×C4—171no—
1595C22×C4—171no—
1596C22×C4—171no—
1597C22×C4—171no—
1598C22×C4—171no—
1599C22×C4—171no—
1600C22×C4—171no—
1601C22×C4—171no—
1602C22×C4—171no—
1603C22×C4—174no—
1604C22×C4—174no—
1605C22×C4—174no—
1606C22×C4—174no—
1607C22×C4—174no—
1608C22×C4—174no—
1609C22×C4—174no—
1610C22×C4—174no—
1611C22×C4—174no—
1612C22×C4—174no—
1613C22×C4—174no—
1614C22×C4—174no—
1615C22×C4—174no—
1616C22×C4—174no—
1617C22×C4—174no—
1618C22×C4—174no—
1619C22×C4—344no—
1620C22×C4—344no—
1621C22×C4—344no—
1622C22×C4—344no—
1623C22×C4—344no—
1624C22×C4—682no—
1625C22×C4—682no—
1626C22×C4—682no—
1627C22×C4—682no—
1628C22×C4—682no—
1629C22×C4—682no—
1630C22×C4—682no—
1631C22×C4—682no—
1632C22×C4—682no—
1633C22×C4—682no—
1634C22×C4—682no—
1635C22×C4—6816no—
1636C22×C4—682no—
1637C22×C4C23×D1711yescharacteristic
1638C22×C4C23×D1711yescharacteristic
1639C22×C4C23×D1711yescharacteristic
1640C22×C4C23×D1711yescharacteristic
1641C22×C4C23×D1711yescharacteristic
1642C22×C4C23×D1711yescharacteristic
1643C22×C4C23×D1711yescharacteristic
1644C22×C4C23×D1711yescharacteristic
1645C22×C4C23×D1711yescharacteristic
1646C22×C4C23×D1711yescharacteristic
1647C22×C4C23×D1711yescharacteristic
1648C22×C4C23×D1711yescharacteristic
1649C22×C4C23×D1711yescharacteristic
1650C22×C4C23×D1714yes—
1651C22×C4C23×D1714yes—
1652C22×C4C23×D1714yes—
1653C22×C4C23×D1714yes—
1654C22×C4C23×D1714yes—
1655C22×C4C23×D1714yes—
1656C4⋊C4—174no—
1657C4⋊C4—174no—
1658C4⋊C4—174no—
1659C4⋊C4—174no—
1660C4⋊C4—174no—
1661C4⋊C4—174no—
1662C4⋊C4—174no—
1663C4⋊C4—174no—
1664C4⋊C4—174no—
1665C4⋊C4—174no—
1666C4⋊C4—174no—
1667C4⋊C4—174no—
1668C4⋊C4—174no—
1669C4⋊C4—174no—
1670C4⋊C4—174no—
1671C4⋊C4—174no—
1672C4⋊C4—174no—
1673C4⋊C4—174no—
1674C4⋊C4—174no—
1675C4⋊C4—174no—
1676C4⋊C4—174no—
1677C4⋊C4—174no—
1678C4⋊C4—174no—
1679C4⋊C4—174no—
1680C4⋊C4—174no—
1681C4⋊C4—174no—
1682C4⋊C4—174no—
1683C4⋊C4—174no—
1684C4⋊C4—174no—
1685C4⋊C4—174no—
1686C4⋊C4—174no—
1687C4⋊C4—174no—
1688C4⋊C4—174no—
1689C4⋊C4—174no—
1690C4⋊C4C23×D1714yes—
1691C4⋊C4C23×D1714yes—
1692C4⋊C4C23×D1714yes—
1693C4⋊C4C23×D1714yes—
1694C4⋊C4C23×D1714yes—
1695C4⋊C4C23×D1714yes—
1696C4⋊C4C23×D1714yes—
1697C4⋊C4C23×D1714yes—
1698C4⋊C4C23×D1714yes—
1699C4⋊C4C23×D1714yes—
1700C4⋊C4C23×D1714yes—
1701C4⋊C4C23×D1714yes—
1702C4⋊C4C23×D1714yes—
1703C4⋊C4C23×D1714yes—
1704C4⋊C4C23×D1714yes—
1705C4⋊C4C23×D1714yes—
1706C22⋊C4—174no—
1707C22⋊C4—174no—
1708C22⋊C4—174no—
1709C22⋊C4—174no—
1710C22⋊C4—174no—
1711C22⋊C4—174no—
1712C22⋊C4—174no—
1713C22⋊C4—174no—
1714C22⋊C4—174no—
1715C22⋊C4—174no—
1716C22⋊C4—174no—
1717C22⋊C4—174no—
1718C22⋊C4—174no—
1719C22⋊C4—174no—
1720C22⋊C4—174no—
1721C22⋊C4—174no—
1722C22⋊C4—174no—
1723C22⋊C4—174no—
1724C22⋊C4—174no—
1725C22⋊C4—174no—
1726C22⋊C4—174no—
1727C22⋊C4—174no—
1728C22⋊C4—174no—
1729C22⋊C4—174no—
1730C22⋊C4—174no—
1731C22⋊C4—174no—
1732C22⋊C4—174no—
1733C22⋊C4—174no—
1734C22⋊C4—174no—
1735C22⋊C4—174no—
1736C22⋊C4—174no—
1737C22⋊C4—174no—
1738C22⋊C4—174no—
1739C22⋊C4—174no—
1740C22⋊C4—174no—
1741C22⋊C4—174no—
1742C22⋊C4—174no—
1743C22⋊C4—174no—
1744C22⋊C4—174no—
1745C22⋊C4—174no—
1746C22⋊C4C23×D1714yes—
1747C22⋊C4C23×D1714yes—
1748C22⋊C4C23×D1714yes—
1749C22⋊C4C23×D1714yes—
1750C22⋊C4C23×D1714yes—
1751C22⋊C4C23×D1714yes—
1752C42—174no—
1753C42—174no—
1754C42—174no—
1755C42—174no—
1756C42—174no—
1757C42—174no—
1758C42—174no—
1759C42C23×D1714yes—
1760C42C23×D1714yes—
1761C42C23×D1714yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—174no—
1768C23—172no—
1769C23—172no—
1770C23—172no—
1771C23—172no—
1772C23—172no—
1773C23—348no—
1774C23—342no—
1775C23—342no—
1776C23—342no—
1777C23—342no—
1778C23—342no—
1779C23—342no—
1780C23—342no—
1781C23—348no—
1782C23—342no—
1783C23—342no—
1784C23—342no—
1785C23—342no—
1786C23—342no—
1787C23—342no—
1788C23—342no—
1789C23—348no—
1790C23—684no—
1791C23—684no—
1792C23—684no—
1793C23—6816no—
1794C23—1368no—
1795C23#1058769414yes—
1796C23C24×D1712yes—
1797C23C24×D1712yes—
1798C23C24×D1711yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—44no—
1802Q8—684no—
1803Q8—684no—
1804Q8—684no—
1805Q8—684no—
1806Q8—684no—
1807Q8—684no—
1808D4—28no—
1809D4—348no—
1810D4—348no—
1811D4—348no—
1812D4—348no—
1813D4—348no—
1814D4—684no—
1815D4—684no—
1816D4—684no—
1817D4—684no—
1818D4—684no—
1819D4—684no—
1820D4—684no—
1821D4—684no—
1822D4—684no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—44no—
1842C2×C4—172no—
1843C2×C4—172no—
1844C2×C4—172no—
1845C2×C4—172no—
1846C2×C4—172no—
1847C2×C4—172no—
1848C2×C4—172no—
1849C2×C4—172no—
1850C2×C4—172no—
1851C2×C4—172no—
1852C2×C4—172no—
1853C2×C4—348no—
1854C2×C4—348no—
1855C2×C4—348no—
1856C2×C4—348no—
1857C2×C4—342no—
1858C2×C4—342no—
1859C2×C4—342no—
1860C2×C4—342no—
1861C2×C4—342no—
1862C2×C4—348no—
1863C2×C4—342no—
1864C2×C4—342no—
1865C2×C4—342no—
1866C2×C4—342no—
1867C2×C4—342no—
1868C2×C4—342no—
1869C2×C4—684no—
1870C2×C4—684no—
1871C2×C4—684no—
1872C2×C4—684no—
1873C2×C4—684no—
1874C2×C4—684no—
1875C2×C4—684no—
1876C2×C4—684no—
1877C2×C4—684no—
1878C2×C4—684no—
1879C2×C4—684no—
1880C2×C4—684no—
1881C2×C4C24×D1712yes—
1882C2×C4C24×D1712yes—
1883C2×C4C24×D1712yes—
1884C2×C4C24×D1712yes—
1885C2×C4C24×D1712yes—
1886C2×C4C24×D1712yes—
1887C2×C4C24×D1712yes—
1888C2×C4C24×D1712yes—
1889C2×C4C24×D1712yes—
1890C2×C4C24×D1712yes—
1891C2×C4C24×D1712yes—
1892C2×C4C24×D1712yes—
1893C2×C4C24×D1712yes—
1894C22—28no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—44no—
1901C22—174no—
1902C22—348no—
1903C22—342no—
1904C22—342no—
1905C22—342no—
1906C22—342no—
1907C22—342no—
1908C22—342no—
1909C22—342no—
1910C22—342no—
1911C22—342no—
1912C22—342no—
1913C22—342no—
1914C22—342no—
1915C22—342no—
1916C22—342no—
1917C22—6816no—
1918C22—684no—
1919C22—684no—
1920C22—684no—
1921C22—684no—
1922C22—1368no—
1923C22H(5,𝔽2)×D1712yes—
1924C22C2×#1058769414yes—
1925C22C2×#1058769412yes—
1926C22#1176364512yes—
1927C22C25×D1711yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—22no—
1941C4—342no—
1942C4—342no—
1943C4—342no—
1944C4—342no—
1945C4—342no—
1946C4—342no—
1947C4—342no—
1948C4—342no—
1949C4—342no—
1950C4—342no—
1951C4—342no—
1952C2—24no—
1953C2—42no—
1954C2—344no—
1955C2—682no—
1956C2—682no—
1957C2—682no—
1958C2—682no—
1959C2#1454298814yesdirect product factor
1960C2C2×H(5,𝔽2)×D1711yescharacteristic
1961C2C22×#1058769411yescharacteristic
1962C2C2×#1176364511yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#554C2
socleC23×C17C25
hypercenterC2×#554D17
hypocenterC17C2×#3535
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#554

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #14542988C2direct (N × H)
2. C2×#11763563C2semidirect
3. C2×#11763558C2semidirect
4. C2×#11763555C2semidirect
5. C2×#11763555C2semidirect
6. C2×#11763514C2semidirect
7. C2×#11763500C2semidirect
8. C2×#11763491C2semidirect
9. C2×#11763488C2semidirect
10. C2×#11763488C2semidirect
11. C2×#11763486C2semidirect
12. C2×#11763486C2semidirect
13. C2×#11763461C2semidirect
14. C2×#11763460C2semidirect
15. C2×#11763455C2semidirect
16. C2×#11763450C2semidirect
17. C2×#11763438C2semidirect
18. C2×#11763434C2semidirect
19. C2×#11763431C2semidirect
20. C2×#11763429C2semidirect
21. C2×#11763407C2semidirect
22. C2×#11763407C2semidirect
23. C2×#11763406C2semidirect
24. C2×#11763405C2semidirect
25. C2×#11763401C2semidirect
26. C2×#11763392C2semidirect
27. C2×#11763384C2semidirect
28. C2×#11763382C2semidirect
29. C2×#11763318C2semidirect
30. C22×#10587580C2semidirect
31. C2×C22⋊Q8×D17C2semidirect
32. C2×C17×#554C2semidirect
35. C22×#63252C22semidirect
36. C22×Q8×D17C22semidirect
39. #11763563C22semidirect
40. #11763558C22semidirect
41. #11763555C22semidirect
42. #11763555C22semidirect
43. #11763514C22semidirect
44. #11763500C22semidirect
45. #11763491C22semidirect
46. #11763488C22semidirect
47. #11763488C22semidirect
48. #11763486C22semidirect
49. #11763486C22semidirect
50. #11763461C22semidirect
51. #11763460C22semidirect
52. #11763455C22semidirect
53. #11763450C22semidirect
54. #11763438C22semidirect
55. #11763434C22semidirect
56. #11763431C22semidirect
57. #11763429C22semidirect
58. #11763407C22semidirect
59. #11763407C22semidirect
60. #11763406C22semidirect
61. #11763405C22semidirect
62. #11763401C22semidirect
63. #11763392C22semidirect
64. #11763384C22semidirect
65. #11763382C22semidirect
66. C2×#10587574C22semidirect
67. C2×#10587574C22semidirect
68. C2×#10587574C22semidirect
69. C2×#10587630C22semidirect
70. C2×#10587630C22semidirect
71. C2×#10587584C22semidirect
72. C2×#10587584C22semidirect
73. C2×#10587584C22semidirect
74. C2×#10587584C22semidirect
75. C2×#10587584C22semidirect
76. C2×#10587584C22semidirect
77. C2×#10587584C22semidirect
78. C2×#10587562C22semidirect
79. C2×#10587562C22semidirect
80. C2×#10587562C22semidirect
81. C2×#10587562C22semidirect
82. C2×#10587565C22semidirect
83. C2×#10587556C22semidirect
84. C2×#10587575C22semidirect
85. C2×#10587575C22semidirect
86. C2×#10587575C22semidirect
87. C2×#10587575C22semidirect
88. C2×#10587575C22semidirect
89. C2×#10587575C22semidirect
90. C2×#10587575C22semidirect
92. C2×#10587633C22semidirect
93. C2×#10587633C22semidirect
95. C2×#10587561C22semidirect
96. C2×#10587571C22semidirect
97. C2×#10587571C22semidirect
98. C2×#10587571C22semidirect
99. #11763318C22semidirect
112. C2×#10587580C22semidirect
113. C2×#10587580C22semidirect
114. C2×#10587580C22semidirect
115. C2×#10587580C22semidirect
116. C2×#10587580C22semidirect
117. C2×#10587580C22semidirect
118. C2×#10587580C22semidirect
120. C2×#10587615C22semidirect
121. C2×#10587615C22semidirect
122. C2×#10587615C22semidirect
123. C2×#10587615C22semidirect
124. C2×#10587569C22semidirect
125. C2×#10587569C22semidirect
126. C2×#10587569C22semidirect
127. C2×#10587569C22semidirect
129. C2×#10587583C22semidirect
130. C2×#10587583C22semidirect
131. C2×#10587583C22semidirect
132. C2×#10587583C22semidirect
136. C2×#10587610C22semidirect
137. C2×#10587582C22semidirect
138. C2×#10587582C22semidirect
139. C2×#10587582C22semidirect
140. C2×#10587582C22semidirect
141. C2×#10587582C22semidirect
142. C2×#10587582C22semidirect
143. C2×#10587582C22semidirect
144. C2×#10587582C22semidirect
145. C2×#10587582C22semidirect
146. C2×#10587582C22semidirect
147. C2×#10587582C22semidirect
148. C2×#10587582C22semidirect
152. C2×#10587632C22semidirect
153. C2×#10587632C22semidirect
154. C2×#10587632C22semidirect
155. C2×#10587632C22semidirect
156. C2×#10587632C22semidirect
157. C22⋊Q8×D17C22semidirect
162. C2×#10587616C22semidirect
165. C2×#10587570C22semidirect
166. C2×#10587570C22semidirect
172. C2×#10587573C22semidirect
174. C2×C4×D68C22semidirect
176. C2×#10587579C22semidirect
177. C2×#10587579C22semidirect
181. C2×C4×C22⋊D17C22semidirect
182. C2×C4×C22⋊D17C22semidirect
183. C2×C4×C22⋊D17C22semidirect
184. C2×#10587578C22semidirect
185. C2×#10587578C22semidirect
186. C2×#10587558C22semidirect
187. C2×#10587558C22semidirect
188. C2×#10587558C22semidirect
192. C2×C4⋊C4×D17C22semidirect
193. C2×C4⋊C4×D17C22semidirect
194. C2×C4⋊C4×D17C22semidirect
195. C2×C4⋊C4×D17C22semidirect
203. C17×#554C22semidirect
204. C2×C17×C4⋊Q8C22semidirect
205. C2×C17×#125C22semidirect
206. C2×C17×#125C22semidirect
210. C2×C17×C22⋊Q8C22semidirect
211. C2×C17×C22⋊Q8C22semidirect
212. C2×C17×C22⋊Q8C22semidirect
213. C2×C4×Q8×C17C22semidirect
218. C22×C4⋊C4×C17C22semidirect
242. C2×Q8×D17C23semidirect
246. C2×#63252C23semidirect
280. C17×C4⋊Q8C23semidirect
281. C17×#125C23semidirect
282. C17×#125C23semidirect
286. C17×C22⋊Q8C23semidirect
287. C17×C22⋊Q8C23semidirect
288. C17×C22⋊Q8C23semidirect
289. C4×Q8×C17C23semidirect
310. C2×C4⋊C4×C17C23semidirect
327. #10587633C23semidirect
328. #10587633C23semidirect
329. #10587632C23semidirect
330. #10587632C23semidirect
331. #10587632C23semidirect
332. #10587632C23semidirect
333. #10587632C23semidirect
334. #10587630C23semidirect
335. #10587630C23semidirect
341. #10587616C23semidirect
342. #10587615C23semidirect
343. #10587615C23semidirect
344. #10587615C23semidirect
345. #10587615C23semidirect
349. C4×C22⋊D17C23semidirect
350. C4×C22⋊D17C23semidirect
351. C4×C22⋊D17C23semidirect
400. #10587610C23semidirect
435. #10587584C23semidirect
436. #10587584C23semidirect
437. #10587584C23semidirect
438. #10587584C23semidirect
439. #10587584C23semidirect
440. #10587584C23semidirect
441. #10587584C23semidirect
442. #10587583C23semidirect
443. #10587583C23semidirect
444. #10587583C23semidirect
445. #10587583C23semidirect
446. #10587582C23semidirect
447. #10587582C23semidirect
448. #10587582C23semidirect
449. #10587582C23semidirect
450. #10587582C23semidirect
451. #10587582C23semidirect
452. #10587582C23semidirect
453. #10587582C23semidirect
454. #10587582C23semidirect
455. #10587582C23semidirect
456. #10587582C23semidirect
457. #10587582C23semidirect
473. #10587580C23semidirect
474. #10587580C23semidirect
475. #10587580C23semidirect
476. #10587580C23semidirect
477. #10587580C23semidirect
478. #10587580C23semidirect
480. #10587579C23semidirect
481. #10587579C23semidirect
482. #10587578C23semidirect
483. #10587578C23semidirect
484. C4⋊C4×D17C23semidirect
485. C4⋊C4×D17C23semidirect
486. C4⋊C4×D17C23semidirect
487. C4⋊C4×D17C23semidirect
488. #10587575C23semidirect
489. #10587575C23semidirect
490. #10587575C23semidirect
491. #10587575C23semidirect
492. #10587575C23semidirect
493. #10587575C23semidirect
494. #10587575C23semidirect
495. #10587574C23semidirect
496. #10587574C23semidirect
497. #10587574C23semidirect
498. #10587573C23semidirect
500. #10587571C23semidirect
501. #10587571C23semidirect
502. #10587571C23semidirect
505. #10587570C23semidirect
506. #10587570C23semidirect
507. #10587569C23semidirect
508. #10587569C23semidirect
509. #10587569C23semidirect
510. #10587569C23semidirect
517. #10587565C23semidirect
523. #10587562C23semidirect
524. #10587562C23semidirect
525. #10587562C23semidirect
526. #10587562C23semidirect
528. #10587561C23semidirect
530. C4×D68C23semidirect
531. #10587558C23semidirect
532. #10587558C23semidirect
533. #10587558C23semidirect
534. #10587556C23semidirect
919. C2×#554D17semidirect
1014. #554C2×D17semidirect
1042. C2×C4⋊Q8C2×D17semidirect
1063. C2×#125C2×D17semidirect
1064. C2×#125C2×D17semidirect
1135. C2×C22⋊Q8C2×D17semidirect
1136. C2×C22⋊Q8C2×D17semidirect
1137. C2×C22⋊Q8C2×D17semidirect
1153. C2×C4×Q8C2×D17semidirect
1181. C22×C4⋊C4C2×D17semidirect
1191. C2×C17#3535semidirect
1266. C4⋊Q8C22×D17semidirect
1287. #125C22×D17semidirect
1288. #125C22×D17semidirect
1356. C22⋊Q8C22×D17semidirect
1357. C22⋊Q8C22×D17semidirect
1358. C22⋊Q8C22×D17semidirect
1374. C4×Q8C22×D17semidirect
1452. C2×C4⋊C4C22×D17semidirect
1516. C17C2×#3535semidirect
1959. C2#14542988direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#145429882
C2×#117635632
C2×#117635582
C2×#117635552
C2×#117635142
C2×#117635002
C2×#117634912
C2×#117634882
C2×#117634862
C2×#117634612
C2×#117634602
C2×#117634552
C2×#117634502
C2×#117634382
C2×#117634342
C2×#117634312
C2×#117634292
C2×#117634072
C2×#117634062
C2×#117634052
C2×#117634012
C2×#117633922
C2×#117633842
C2×#117633822
C2×#117633182
C22×#105875802
C2×C22⋊Q8×D172
C2×C17×#5542
C2×#353517